Details

analyze1.1s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.6%	98.1%	0.3%	13
3.1%	96.6%	0.3%	14

sample30.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
5.0ms	130×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	11
1	24	11

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

4.0ms	(+ (* x y) (* z t))
9.0ms	(+ (+ (* x y) (* z t)) (* a b))

series29.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(+ (* x y) (* z t))
19.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify41.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	369

prune41.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (+ (* z t) (* a b)))
0.1b	(sqrt (+ (* x y) (+ (* z t) (* a b))))
0.1b	(sqrt (+ (* x y) (+ (* z t) (* a b))))
0.2b	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+r+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

6.0ms	(+ (* x y) (+ (* z t) (* a b)))
6.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
6.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
15.0ms	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))

series301.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x y) (+ (* z t) (* a b)))
129.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
131.0ms	(sqrt (+ (* x y) (+ (* z t) (* a b))))
20.0ms	(* (sqrt (+ (* x y) (+ (* z t) (* a b)))) (sqrt (+ (* x y) (+ (* z t) (* a b)))))

simplify27.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	4980	2015
1	4980	2015

prune92.0ms

Filtered

68 candidates to 112 candidates (-64.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Merged error: 0.0b

Counts

115 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* z t) (* a b))
0.0b	(+ (* x y) (+ (* z t) (* a b)))
0.2b	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
40.4b	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
11×	`add-log-exp`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `sum-log` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `associate-+r+` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 72

Calls

4 calls:

4.0ms	(+ (* z t) (* a b))
6.0ms	(+ (* x y) (+ (* z t) (* a b)))
6.0ms	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
9.0ms	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

series1.9s

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (* z t) (* a b))
19.0ms	(+ (* x y) (+ (* z t) (* a b)))
1.8s	(pow (+ (* x y) (+ (* z t) (* a b))) 3)
20.0ms	(cbrt (pow (+ (* x y) (+ (* z t) (* a b))) 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5092	1292

prune303.0ms

Filtered

52 candidates to 84 candidates (-61.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

4.6b	(* a (* b (* a b)))
4.9b	(* z (* t (* z t)))
26.5b	(/ (- (* z (* t (* z t))) (* a (* b (* a b)))) (- (* z t) (* a b)))
40.4b	(cbrt (pow (+ (* x y) (/ (- (* z (* t (* z t))) (* a (* b (* a b)))) (- (* z t) (* a b)))) 3))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-exp-log` `add-cbrt-cube`
22×	`pow1`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-prod` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`times-frac`
6×	`associate-l`
4×	`add-log-exp`
3×	`unpow-prod-down` `cube-prod` `associate-/r` `associate-/l`
2×	`cube-div` `cbrt-div` `flip3--` `associate-r` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `frac-2neg` `flip3-+` `pow1/3` `unpow3` `div-sub` `div-exp` `clear-num` `rem-cbrt-cube` `flip-+` `div-inv` `sqr-pow`

Counts

4 → 97

Calls

4 calls:

7.0ms	(* a (* b (* a b)))
9.0ms	(* z (* t (* z t)))
12.0ms	(/ (- (* z (* t (* z t))) (* a (* b (* a b)))) (- (* z t) (* a b)))
14.0ms	(cbrt (pow (+ (* x y) (/ (- (* z (* t (* z t))) (* a (* b (* a b)))) (- (* z t) (* a b)))) 3))

series125.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* a (* b (* a b)))
7.0ms	(* z (* t (* z t)))
31.0ms	(/ (- (* z (* t (* z t))) (* a (* b (* a b)))) (- (* z t) (* a b)))
81.0ms	(cbrt (pow (+ (* x y) (/ (- (* z (* t (* z t))) (* a (* b (* a b)))) (- (* z t) (* a b)))) 3))

simplify36.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5369	1710

prune125.0ms

Filtered

76 candidates to 109 candidates (-43.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	109	3	112

Merged error: 0.0b

Counts

112 → 3

regimes762.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	11
1	16	11

end0.0ms

sample844.0ms

Algorithm

intervals

Results

302.0ms	8000×	body	80	valid
153.0ms	4006×	body	80	invalid

Details

analyze1.1s

sample30.0ms

simplify3.0ms

prune9.0ms

localize8.0ms

rewrite14.0ms

series29.0ms

simplify41.0ms

prune41.0ms

localize10.0ms

rewrite36.0ms

series301.0ms

simplify27.0ms

prune92.0ms

localize12.0ms

rewrite27.0ms

series1.9s

simplify43.0ms

prune303.0ms

localize19.0ms

rewrite45.0ms

series125.0ms

simplify36.0ms

prune125.0ms

regimes762.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample844.0ms

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